What is the Greatest Common Factor of 15483 and 15489?

Greatest common factor (GCF) of 15483 and 15489 is 3.

GCF(15483,15489) = 3

We will now calculate the prime factors of 15483 and 15489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15483 and 15489.

How to find the GCF of 15483 and 15489?

We will first find the prime factorization of 15483 and 15489. After we will calculate the factors of 15483 and 15489 and find the biggest common factor number .

Step-1: Prime Factorization of 15483

Prime factors of 15483 are 3, 13, 397. Prime factorization of 15483 in exponential form is:

15483 = 3¹ × 13¹ × 397¹

Step-2: Prime Factorization of 15489

Prime factors of 15489 are 3, 1721. Prime factorization of 15489 in exponential form is:

15489 = 3² × 1721¹

Step-3: Factors of 15483

List of positive integer factors of 15483 that divides 15483 without a remainder.

1, 3, 13, 39, 397, 1191, 5161

Step-4: Factors of 15489

List of positive integer factors of 15489 that divides 15483 without a remainder.

1, 3, 9, 1721, 5163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15483 and 15489. The biggest common factor number is the GCF number.
So the greatest common factor 15483 and 15489 is 3.

Also check out the Least Common Multiple of 15483 and 15489